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Finding the Fourth Proportional to 1,020.79, 1,408.68 and 578.59

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Solution

The fourth proportional to 1,020.79, 1,408.68 and 578.59 is: 798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.79 : 1,408.68 = 578.59 : x
  2. Step 2: Convert to fraction form
    1,020.79/1,408.68 = 578.59/x
  3. Step 3: Cross multiply
    1,020.79x = 1,408.68 × 578.59
  4. Step 4: Simplify right side
    1,020.79x = 815,048.16
  5. Step 5: Solve for x
    x = 815,048.16/1,020.79
  6. Step 6: Final answer
    x = 798.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.